Michael graphs the equations y=-1/2x+4 and y = x + 1 to solve the equation -1/2x+4=x+1. His graph is shown below.
2 answers:
Keywords:
<em>System of equations, ordered pair, variable, graphic solution </em>
For this case we have that by definition, the graphical solution of two equations is given by the intersection point (x, y) of both lines. We have the following system of equations:
According to the graph of Michael, it is observed that the solution of the system is given by the following ordered pair:
Then, the solution of is the co-ordinate "x" of the mentioned ordered pair.
Answer:
The solution of
Option C
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Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
<em>A</em> = Thomas bumps into Madeline at school
<em>B</em> = Thomas call Madeline on the phone
<em>X</em> = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:
The law of total probability states that:
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
Compute the value of P (B|X) as follows:
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.